The non-existence of Cameron–Liebler line classes with parameter 2 <x≤q

DOI10.1112/blms/bdq057zbMath1213.51008OpenAlexW2028879685MaRDI QIDQ3066422

Klaus Metsch

Publication date: 10 January 2011

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdq057

zbMATH Keywords

blocking setsquadricsCameron-Liebler line classes

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20)

Related Items (16)

An improved bound on the existence of Cameron-Liebler line classes ⋮ Cameron-Liebler line classes in \(PG(n,4)\) ⋮ A modular equality for Cameron-Liebler line classes ⋮ Cameron–Liebler sets for maximal totally isotropic flats in classical affine spaces ⋮ Substructures in finite classical polar spaces ⋮ The Cameron-Liebler problem for sets ⋮ Intriguing sets of quadrics in \(\mathrm{PG}(5, q)\) ⋮ Small tight sets of hyperbolic quadrics ⋮ Cameron-Liebler line classes ⋮ On the smallest non-trivial tight sets in Hermitian polar spaces \(H(d, q^2)\), \(d\) even ⋮ Small tight sets in finite elliptic, parabolic and Hermitian polar spaces ⋮ Cameron-Liebler sets of \(k\)-spaces in \(\mathrm{PG}(n,q)\) ⋮ Cameron-Liebler sets in bilinear forms graphs ⋮ Cameron-Liebler sets of generators in finite classical polar spaces ⋮ Cameron-Liebler line classes with parameter \(x = \frac{q^2 - 1}{2}\) ⋮ A new family of tight sets in \(\mathcal Q^+(5,q)\)

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